1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Location of roots problem.

  1. Aug 29, 2011 #1
    1. The problem statement, all variables and given/known data

    Let[tex] 4x^2-4(α-2)xα-2=0 (α\epsilon R)[/tex]
    be a quadratic equation, then find the value of α for which both the roots are positive.

    2. Relevant equations

    3. The attempt at a solution

    the conditions will be
    1) Discriminant D≥0
    by this condition i got α (-∞,2][3,∞)
    2) f(0) greater than or equal to 0
    by this we get α (2,∞)

    3) now should i use -b/2a(point exactly between both roots)
    and equate as -b/2a greater than 0

    if-3rd point is right then what will be the final answer
    α (?,?)union(?,?)
    please provide help

    Attached Files:

    Last edited: Aug 29, 2011
  2. jcsd
  3. Aug 29, 2011 #2


    User Avatar
    Homework Helper

    Are you sure the equation has typed up correctly? hopefully there should be a + or - sign between the x and the alpha??
  4. Aug 29, 2011 #3
    I have solved the problem:smile:
    there is a + sign.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Location of roots problem.
  1. Square root problem (Replies: 20)

  2. Square root problem (Replies: 12)